1 citations · 1 across the 4 of their papers we have counts for
4 papers
Global dynamics and perspectives on singularities of holomorphic foliations
Julio C. Rebelo, Helena Reis
In dimensions greater than or equal to 3, the local structure of a singular holomorphic foliation conceals a globally defined foliation on the projective space of dimension one les…
Geodesic completeness of pseudo and holomorphic Riemannian metrics on Lie groups
Ahmed Elshafei, Ana Cristina Ferreira, Helena Reis
This paper is devoted to geodesic completeness of left-invariant metrics for real and complex Lie groups. We start by establishing the Euler-Arnold formalism in the holomorphic set…
2-dimensional Lie algebras and separatrices for vector fields on (C^3,0)
Julio C. Rebelo, Helena Reis
We show that holomorphic vector fields on (C^3,0) have separatrices provided that they are embedded in a rank 2 representation of a two-dimensional Lie algebra. In turn, this resul…
A note on integrability and finite orbits for subgroups of Diff(C^n,0)
Julio C. Rebelo, Helena Reis
In this note we extend to arbitrary dimensions a couple of results due respectively to Mattei-Moussu and to Camara-Scardua in dimension 2. We also provide examples of singular foli…